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Finding the Third Proportional to 7,753.78 and 9,130.78

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Solution

The third proportional to 7,753.78 and 9,130.78 is: 10,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.78 : 9,130.78 = 9,130.78 : x
  2. Step 2: Convert to fraction form
    7,753.78/9,130.78 = 9,130.78/x
  3. Step 3: Cross multiply
    7,753.78x = 9,130.78 × 9,130.78
  4. Step 4: Simplify right side
    7,753.78x = 83,371,166.24
  5. Step 5: Solve for x
    x = 83,371,166.24/7,753.78
  6. Step 6: Final answer
    x = 10,752.32

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.